Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
Saeda Marello (Bonn)
The Curie-Weiss model (CW) is a classical model of a ferromagnetic spin system in which all spins interact with each other. After giving an introduction on metastability, a phenomenon appearing in a large variety of systems presenting "sudden" transitions from apparently stable states, we will focus on the CW and its metastable behaviour.
The randomly dilute Curie-Weiss model (RDCW) is a generalisation of the CW in which the deterministic interaction between pairs of spins is replaced by iid random coefficients. The RDCW can be also viewed as an Ising model on a random graph. In the second part of the seminar recent results on the mean metastable hitting time in the RDCW, approximated by that of the CW, will be presented.
Based on joint work with Anton Bovier and Elena Pulvirenti.